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Finding the Fourth Proportional to 3,668.26, 5,502.44 and 1,203.27

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Solution

The fourth proportional to 3,668.26, 5,502.44 and 1,203.27 is: 1,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.26 : 5,502.44 = 1,203.27 : x
  2. Step 2: Convert to fraction form
    3,668.26/5,502.44 = 1,203.27/x
  3. Step 3: Cross multiply
    3,668.26x = 5,502.44 × 1,203.27
  4. Step 4: Simplify right side
    3,668.26x = 6,620,920.98
  5. Step 5: Solve for x
    x = 6,620,920.98/3,668.26
  6. Step 6: Final answer
    x = 1,804.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.